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math.PR2024
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Nick Simm, Fei Wei
We study the derivative of the characteristic polynomial of Haar distributed unitary matrices. We obtain the first explicit formulae for complex-valued moments when th…
math.PR2024
Exchangeable arrays and integrable systems for characteristic polynomials of random matrices
Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating +1
The joint moments of the derivatives of the characteristic polynomial of a random unitary matrix, and also a variant of the characteristic polynomial that is real on the unit circl…